Find which fraction is greater :
1) 6/19 and 16/19
2) 1/2 and 3/5
3) 7/12 and 11/18
4) 5/12 and 3/8
5) 3/14 and 5/21
6) 1/12 and 7/36
7) 5/7 and 3/9
8) 17/45 and 19/60
1. Answer :
6/19 and 16/19
In the fractions 6/19 and 16/19, the denominator is same. So, the fraction which has greater numerator will greater in value.
16/9 > 6/19
16/19 is greater than 6/19
2. Answer :
1/2 and 3/5
In the fractions 1/2 and 3/5, the denominators are different.
Make the denominators same using least common multiple.
Least common multiple of (2, 5) = 10.
1/2 = (1 ⋅ 5)/(2 ⋅ 5) = 5/10
3/5 = (3 ⋅ 2)/(5 ⋅ 2) = 15/10
Compare the numerators of like fractions 5/10 and 15/10.
15/10 > 5/10
Substitute the corresponding original fractions.
3/5 > 1/2
3/5 is greater than 1/2
3. Answer :
7/12 and 11/18
In the fractions 7/12 and 11/18, the denominators are different.
Make the denominators same using least common multiple.
Least common multiple of (12, 18) = 36.
7/12 = (7 ⋅ 3)/(12 ⋅ 3) = 21/36
11/18 = (11 ⋅ 2)/(18 ⋅ 2) = 22/36
Compare the numerators of like fractions 21/36 and 22/36.
22/36 > 21/36
Substitute the corresponding original fractions.
11/18 > 7/12
11/18 is greater than 7/12
4. Answer :
5/12 and 3/8
In the fractions 5/12 and 3/8, the denominators are different.
Make the denominators same using least common multiple.
Least common multiple of (12, 8) = 24.
5/12 = (5 ⋅ 2)/(12 ⋅ 2) = 10/24
3/8 = (3 ⋅ 3)/(8 ⋅ 3) = 9/24
Compare the numerators of like fractions 10/24 and 9/24.
10/24 > 9/24
Substitute the corresponding original fractions.
5/12 > 3/8
5/12 is greater than 3/8
5. Answer :
3/14 and 5/21
In the fractions 3/14 and 5/21, the denominators are different.
Make the denominators same using least common multiple.
Least common multiple of (14, 21) = 42.
3/14 = (3 ⋅ 3)/(14 ⋅ 3) = 9/42
5/21 = (5 ⋅ 2)/(21 ⋅ 2) = 10/42
Compare the numerators of like fractions 9/42 and 10/42.
10/42 > 9/42
Substitute the corresponding original fractions.
5/21 > 3/14
5/21 is greater than 3/14
6. Answer :
1/12 and 7/36
In the fractions 1/12 and 7/36, the denominators are different.
Make the denominators same using least common multiple.
Least common multiple of (12, 36) = 36.
1/12 = (1 ⋅ 3)/(12 ⋅ 3) = 3/36
7/36 = (7 ⋅ 1)/(36 ⋅ 1) = 7/36
Compare the numerators of like fractions 3/36 and 7/36.
7/36 > 3/36
Substitute the corresponding original fractions.
7/36 > 1/12
7/36 is greater than 1/12
7. Answer :
5/7 and 3/9
The fraction 3/9 is not in simplest form, write 3/9 in its simplest form.
3/9 = 1/3
In the fractions 5/7 and 1/3, the denominators are different.
Make the denominators same using least common multiple.
Least common multiple of (7, 3) = 21.
5/7 = (5 ⋅ 3)/(7 ⋅ 3) = 15/21
1/3 = (1 ⋅ 7)/(3 ⋅ 7) = 7/21
Compare the numerators of like fractions 15/21 and 7/21.
15/21 > 7/21
Substitute the corresponding original fractions.
5/7 > 1/3
5/7 > 3/9
5/7 is greater than 3/9
8. Answer :
17/45 and 19/60
In the fractions 17/45 and 19/60, the denominators are different.
Make the denominators same using least common multiple.
Least common multiple of (45, 60) = 180.
17/45 = (17 ⋅ 4)/(45 ⋅ 4) = 68/180
19/60 = (19 ⋅ 2)/(60 ⋅ 3) = 38/180
Compare the numerators of like fractions 68/180 and 38/180.
68/180 > 38/180
Substitute the corresponding original fractions.
17/45 > 19/60
17/45 is greater than 19/60
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